Assume "K" is the number of coin flips for all coins "n" to match its original face without error. Use P(k) to show the PMF of the number of flips needed for all coins to be correct. With "p" being the success of one coin being flipped correctly INDEPENDENTLY:

a) Find the PMF = 1, or when all the coins are flipped and have their same original face in one go as a formula.

b) Find the probability that one coin is correct in one or two flips.

c) Find the probability that all coins are flipped and correct in one or two flips.

d) Using the example of P(1) = probability that the coins are flipped and correct in exactly one try, P(2) = probability that the coins are flipped and correct in exactly two tries, and so on, write the formula referencing the previous formulas of the comprehensive PMF of K.

Strictly prohibited handwritten solution, please send me answer In typed form.